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<div class="title">dtu_array_2d.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#ifndef DTU_ARRAY_2D_H</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define DTU_ARRAY_2D_H</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &quot;jama125/tnt_array2d.h&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &quot;jama125/tnt_array2d_utils.h&quot;</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &quot;jama125/jama_svd.h&quot;</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="code" href="namespace_d_t_u.html">   33</a></span>&#160;<span class="keyword">namespace </span>DTU</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;{</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">   37</a></span>&#160;<span class="keyword">class </span><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D</a> : <span class="keyword">public</span> <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D</a>&lt;T&gt;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;{</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">public</span>:</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#afd205bf3e12c0c1a57d0a451fd45446d">   41</a></span>&#160;        <span class="keyword">typedef</span>         T   <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#afd205bf3e12c0c1a57d0a451fd45446d">value_type</a>;</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a6e06c78ecfbd2efdbe3c3e13df18c4c7">   42</a></span>&#160;        <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a6e06c78ecfbd2efdbe3c3e13df18c4c7">DtuArray2D</a>() : TNT::<a class="code" href="class_t_n_t_1_1_array2_d.html">Array2D</a>&lt;T&gt;(){}</div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1095f0d0a7f8ca187c15b4ef5488f68d">   43</a></span>&#160;        <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1095f0d0a7f8ca187c15b4ef5488f68d">DtuArray2D</a>(<span class="keywordtype">int</span> m, <span class="keywordtype">int</span> n) : TNT::<a class="code" href="class_t_n_t_1_1_array2_d.html">Array2D</a>&lt;T&gt;(m,n) {}</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f4e57787b3d46be392ce28f75fe9">   44</a></span>&#160;        <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f4e57787b3d46be392ce28f75fe9">DtuArray2D</a>(<span class="keywordtype">int</span> m, <span class="keywordtype">int</span> n,  T *a) : TNT::<a class="code" href="class_t_n_t_1_1_array2_d.html">Array2D</a>&lt;T&gt;(m, n, a) {}</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1190f5752ba914133a2a77449ce56a05">   45</a></span>&#160;        <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1190f5752ba914133a2a77449ce56a05">DtuArray2D</a>(<span class="keywordtype">int</span> m, <span class="keywordtype">int</span> n, <span class="keyword">const</span> T &amp;a) : <a class="code" href="class_t_n_t_1_1_array2_d.html">Array2D</a>&lt;T&gt;( m,  n,   a) {}</div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a88e0a39a0a5e84e14eee359ebb2bd3e1">   46</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a88e0a39a0a5e84e14eee359ebb2bd3e1">DtuArray2D</a>(<span class="keyword">const</span> <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;T&gt;</a> &amp;A) : <a class="code" href="class_t_n_t_1_1_array2_d.html">Array2D</a>&lt;T&gt;(A) {}</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keyword">inline</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D</a> &amp; <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a3ce392195f883257dc8133f7fab9564d">operator=</a>(<span class="keyword">const</span> T &amp;a);</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                </div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1c57e7cdb472b95640e16f69b664d797">add</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out);</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aef64358747786ad8a0223161086cc7d0">subtract</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">multiply</a>(<span class="keywordtype">double</span> scalar, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out);</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">multiply</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out);</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#abfd1831b2f3ff56bb30ebae5a5b59b63">multiplyR</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>&amp; B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>&amp; out);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">multiply</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <span class="keywordtype">double</span> scalar, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out);</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">transpose</a>(<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* A); <span class="comment">// write to given variable</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">transpose</a>(<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>&amp; A); <span class="comment">// write to given variable</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a95044424cf0a7805be6bcddb6b2683f2">transpose_insitu</a>(); <span class="comment">// transpose self, in place</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a817f8d8127c60c21481e42531389376c">getSVD</a>(<a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a> &amp;A); <span class="comment">// write to given variable</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#ac84d734c8563a5abd76a043fc3c3a0e6">pinv</a>(<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* A); <span class="comment">// write to given variable</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">inline</span> T <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a8a8b977b5acee1e45c175b188685779b">trace</a>();</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aecc0518069f41f2e12e88b35933e3573">toIdentityMatrix</a>();</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                </div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">   67</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> this-&gt;<a class="code" href="class_t_n_t_1_1_array2_d.html#ad866fbd5cb16df751ebf9e4eea6f2f22">m_</a>; } <span class="comment">//rows</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">   68</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> this-&gt;<a class="code" href="class_t_n_t_1_1_array2_d.html#a4a182694802765bdb358f9737ab922b1">n_</a>; } <span class="comment">//columns</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">inline</span> <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;T&gt;</a> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a906c78d88bdb45a4f9d8805d3a0c6262">toTntArray2D</a>();</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a3d918f63f7cb85cdc05739ac4c79807c">print</a>();</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;};</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a3d918f63f7cb85cdc05739ac4c79807c">   76</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a3d918f63f7cb85cdc05739ac4c79807c">DtuArray2D&lt;T&gt;::print</a>()</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;{</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row = 0; row&lt;this-&gt;dim1(); ++row)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    {</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> column = 0; column&lt; this-&gt;dim2(); ++column)</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        {</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            std::cout &lt;&lt; (*this)[row][column] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        }</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        std::cout &lt;&lt; std::endl;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    }</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;}</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00089"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aecc0518069f41f2e12e88b35933e3573">   89</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aecc0518069f41f2e12e88b35933e3573">DtuArray2D&lt;T&gt;::toIdentityMatrix</a>()</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;{</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    <span class="keywordflow">if</span> (this-&gt;m_ == this-&gt;n_)</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    {</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;this-&gt;m_; i++)</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j&lt;this-&gt;n_; j++)</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                this-&gt;v_[i][j] = (j==i)*(T)1; <span class="comment">/* 1 when j == i (diagonal), 0 otherwise */</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    }</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    {</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        std::cerr &lt;&lt; <span class="stringliteral">&quot;Only square matrices can be identity matrices!&quot;</span>&lt;&lt;std::endl;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    }</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;}</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a8a8b977b5acee1e45c175b188685779b">  106</a></span>&#160;<span class="keyword">inline</span> T <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a8a8b977b5acee1e45c175b188685779b">DtuArray2D&lt;T&gt;::trace</a>()</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;{</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keywordflow">if</span> (dim1() == dim2())</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    {</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        T trace = (T)0;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i &lt; dim1(); i++)</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        {</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            trace += this-&gt;v_[i][i];</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">return</span> trace;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    }</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    {</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        std::cerr &lt;&lt; <span class="stringliteral">&quot;Trace can only be calculated for square matrices!&quot;</span>&lt;&lt;std::endl;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    }</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;}</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">  124</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">DtuArray2D&lt;T&gt;::transpose</a>(<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* A)</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;{</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="comment">//A = DtuArray2D&lt;T&gt;(this-&gt;n_, this-&gt;m_);</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> mi = 0; mi &lt; this-&gt;m_; mi++)</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> ni = 0; ni &lt; this-&gt;n_; ni++)</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        {</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            (*A)[ni][mi] = this-&gt;v_[mi][ni];</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;}</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00136"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a076b2f5fced5f94eff5f21c51ad80961">  136</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">DtuArray2D&lt;T&gt;::transpose</a>(<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>&amp; A)</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;{</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    A = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>(this-&gt;n_, this-&gt;m_);</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> mi = 0; mi &lt; this-&gt;m_; mi++)</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> ni = 0; ni &lt; this-&gt;n_; ni++)</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            A[ni][mi] = this-&gt;v_[mi][ni];</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    }</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;}</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="comment">/* this function only works with square matrices. It&#39;s more memory efficient</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="comment">   if you do not need to store a copy of the matrix before transposition, as it overwrites</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="comment">   the matrix being transformed and does not create more matrices */</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00152"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a95044424cf0a7805be6bcddb6b2683f2">  152</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a95044424cf0a7805be6bcddb6b2683f2">DtuArray2D&lt;T&gt;::transpose_insitu</a>()</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;{</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keywordflow">if</span> (dim1() == dim2())</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    {</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> mi = 0; mi &lt; this-&gt;m_; mi++)</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        {</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> ni = mi+1; ni &lt; this-&gt;n_; ni++) {</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;                T temp = this-&gt;v_[ni][mi];</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;                this-&gt;v_[ni][mi] = this-&gt;v_[mi][ni];</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;                this-&gt;v_[mi][ni] = temp;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            }</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    {</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    }</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;}</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">/* There are several ways to implement the multiplication. All the methods were tested</span></div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="comment">  and the most efficient JAMA implementation has been left uncommented for further use.</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="comment">  You can uncomment other methods and try them out. */</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00176"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af5b3ec0622fd426688ea0ab77b26db51">  176</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">DtuArray2D&lt;T&gt;::multiply</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out)</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;{</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    <span class="keywordflow">if</span> (dim2() == B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>())</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <span class="keywordtype">int</span> M = dim1();</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        <span class="keywordtype">int</span> N = dim2();</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        <span class="keywordtype">int</span> K = B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>();</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="comment">//        // --------------- JAMA implementation</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        T* bcolj = <span class="keyword">new</span> T[N];</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; K; j++)</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        {</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; N; k++)</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;            {</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                bcolj[k] = (*B)[k][j];</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            }</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; M; i++)</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;            {</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;                T* arowi = this-&gt;v_[i];</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;                T sum = 0.0;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; N; k++)</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                {</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                    sum += arowi[k] * bcolj[k];</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                }</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;                (*out)[i][j] = sum;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            }</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        }</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        <span class="keyword">delete</span>[] bcolj;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;        <span class="comment">// --------------- end of JAMA implementation</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        <span class="comment">// --------------- naive implementation</span></div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="comment">//         for (int j=0; j&lt;K; j++)</span></div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;<span class="comment">//              for (int k=0; k&lt;N; k++)</span></div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="comment">//                  for (int i=0; i&lt;M; i++)</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="comment">//                      (*out)[i][j] += this-&gt;v_[i][k] * (*B) [k][j];</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="comment">//         return 0;</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        <span class="comment">// --------------- end of naive implementation</span></div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;                </div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        <span class="comment">// --------------- Arek&#39;s implementation</span></div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="comment">//         T* Bcolj = new T[N];</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="comment">//         for (int j=0; j&lt;K; ++j)</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;<span class="comment">//         {</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="comment">//              for (int k=0; k &lt; N; ++k)</span></div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;<span class="comment">//              {</span></div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="comment">//                  Bcolj[k] = (*B)[k][j];</span></div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="comment">//              }</span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="comment">//              for (int i=0; i&lt; M; ++i)</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="comment">//              {</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="comment">//                  T s = 0;</span></div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;<span class="comment">//                  for (int k=0; k &lt; N; ++k)</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="comment">//                  {</span></div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="comment">//                      s += this-&gt;v_[i][k] *  Bcolj[k];</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="comment">//                  }</span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="comment">//                  (*out)[i][j] = s;</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="comment">//              }</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;<span class="comment">//         }</span></div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="comment">//         delete[] Bcolj;</span></div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;<span class="comment">//         return 0;</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        <span class="comment">// --------------- end of Arek&#39;s implementation</span></div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;        <span class="comment">// --------------- implementation by Tomas Gudmundsson (using blocking)</span></div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;<span class="comment">//         int b_sz = 256;</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;<span class="comment">//         // Matrix A is of size M X N</span></div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;<span class="comment">//         // Matrix B is of size N X K</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<span class="comment">//         // Matrix C is of size M X K</span></div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="comment">//         for (int i = 0; i &lt; M; i += b_sz) {</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="comment">//              for (int j = 0; j &lt; N; j += b_sz) {</span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="comment">//                  for (int h = 0; h &lt; K; h += b_sz) {</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="comment">//                      for (int h2 = 0; h2 &lt; min(K - h, b_sz); h2++) {</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment">//                          for (int j2 = 0; j2 &lt; min(N - j, b_sz); j2++) {</span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;<span class="comment">//                              for (int i2 = 0; i2 &lt; min(M - i, b_sz); i2++) {</span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="comment">//                                  //out[(j+j2)*K+(h+h2)] += this-&gt;v_[(j+j2)*M+(i+i2)] * B[(i+i2)*K+(h+h2)];</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="comment">//                                  (*out)[(j+j2)][(h+h2)] += this-&gt;v_[(j+j2)][(i+i2)] * (*B)[(i+i2)][(h+h2)];</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;<span class="comment">//                              }</span></div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;<span class="comment">//                          }</span></div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="comment">//                      }</span></div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="comment">//                  }</span></div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;<span class="comment">//              }</span></div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="comment">//          }</span></div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;        <span class="comment">// --------------- end of implementation by Tomas Gudmundsson (using blocking)</span></div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;                 </div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        }</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        {</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                <span class="comment">//std::cout &lt;&lt; &quot;Dimensions mismatch&quot; &lt;&lt; std::endl;</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;                <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;        }</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;}</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00281"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#abfd1831b2f3ff56bb30ebae5a5b59b63">  281</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#abfd1831b2f3ff56bb30ebae5a5b59b63">DtuArray2D&lt;T&gt;::multiplyR</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>&amp; B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>&amp; out)</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;{</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;    <span class="keywordflow">if</span> (dim2() == B.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>())</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    {</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;        <span class="keywordtype">int</span> M = dim1();</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <span class="keywordtype">int</span> N = dim2();</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="keywordtype">int</span> K = B.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>();</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        out = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>(M,K)=0;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;        <span class="comment">// --------------- JAMA implementation</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;        T* bcolj = <span class="keyword">new</span> T[N];</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; K; j++)</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;        {</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; N; k++)</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;            {</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;                bcolj[k] = B[k][j];</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;            }</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; M; i++)</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;            {</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;                T* arowi = this-&gt;v_[i];</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;                T sum = 0.0;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; N; k++)</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;                {</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;                    sum += arowi[k] * bcolj[k];</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;                }</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;                out[i][j] = sum;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;            }</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;        }</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;        <span class="keyword">delete</span>[] bcolj;</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;    }</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;    {</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;                <span class="comment">//std::cout &lt;&lt; &quot;Dimensions mismatch&quot; &lt;&lt; std::endl;</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;        <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;    }</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;}</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00333"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1d0e65eb4b55f8f7821adf7888fc6b5a">  333</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">DtuArray2D&lt;T&gt;::multiply</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <span class="keywordtype">double</span> constant, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out)</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;{</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;    <span class="keywordflow">if</span> (dim2() == B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>())</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;    {</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        <span class="keywordtype">int</span> M = dim1();</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        <span class="keywordtype">int</span> N = dim2();</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;        <span class="keywordtype">int</span> K = B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>();</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;                </div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;        T* bcolj = <span class="keyword">new</span> T[N];</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; K; j++)</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;        {</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; N; k++)</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;            {</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;                bcolj[k] = (*B)[k][j];</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;            }</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; M; i++) </div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;            {</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;                T* arowi = this-&gt;v_[i];</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;                T sum = 0.0;</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; N; k++)</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;                {</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;                    sum += arowi[k] * bcolj[k];</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;                }</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;                (*out)[i][j] = sum*constant;</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;            }</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;        }</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;        <span class="keyword">delete</span>[] bcolj;</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;    }</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;    {</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;        <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;    }</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;}</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00371"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">  371</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aa395f408b57f194d773d309b5bcb3107">DtuArray2D&lt;T&gt;::multiply</a>(<span class="keywordtype">double</span> scalar, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out)</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;{</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;   <span class="comment">// if ((this-&gt;m_ != out-&gt;dim1()) || (this-&gt;n_ != out-&gt;dim2())) // if the size of the output array is different, reinitialize it</span></div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    <span class="comment">//    (*out) = DtuArray2D&lt;T&gt;(this-&gt;m_, this-&gt;n_);</span></div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;    <span class="comment">//std::cout &lt;&lt; &quot;HERE!&quot; &lt;&lt; this-&gt;m_ &lt;&lt;  &quot; &quot;&lt;&lt;this-&gt;n_  &lt;&lt; &quot; &quot;&lt;&lt;scalar &lt;&lt; std::endl;</span></div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; this-&gt;m_; i++)</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;    {</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; this-&gt;n_; j++)</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;        {</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;            (*out)[i][j] = this-&gt;v_[i][j] * scalar;</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;            <span class="comment">//std::cout &lt;&lt; this-&gt;v_[i][j];</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        }</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    }</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;     <span class="comment">//std::cout &lt;&lt; std::endl;</span></div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;}</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00389"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1c57e7cdb472b95640e16f69b664d797">  389</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a1c57e7cdb472b95640e16f69b664d797">DtuArray2D&lt;T&gt;::add</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out)</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;{</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;    <span class="keywordflow">if</span> ((this-&gt;m_ == B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>()) &amp;&amp; (this-&gt;n_ == B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>()))</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    {</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;        <span class="keywordflow">if</span> ((this-&gt;m_ != out-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>()) || (this-&gt;n_ != out-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>())) <span class="comment">// if the size of the output array is different, reinitialize it</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;            (*out) = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>(this-&gt;m_, this-&gt;n_);</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; this-&gt;m_; i++)</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; this-&gt;n_; j++)</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;                (*out)[i][j] = this-&gt;v_[i][j] + (*B)[i][j];</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;    }</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;    {</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;        <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;    }</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;}</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00410"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aef64358747786ad8a0223161086cc7d0">  410</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aef64358747786ad8a0223161086cc7d0">DtuArray2D&lt;T&gt;::subtract</a>(<span class="keyword">const</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* B, <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out)</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;{</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;    <span class="keywordflow">if</span> ((this-&gt;m_ == B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>()) &amp;&amp; (this-&gt;n_ == B-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>()))</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;    {</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;        <span class="keywordflow">if</span> ((this-&gt;m_ != out-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>()) || (this-&gt;n_ != out-&gt;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>())) <span class="comment">// if the size of the output array is different, reinitialize it</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;            (*out) = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>(this-&gt;m_, this-&gt;n_);</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; this-&gt;m_; i++)</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; this-&gt;n_; j++)</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;                (*out)[i][j] = this-&gt;v_[i][j] - (*B)[i][j];</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;    }</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;    {</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;        <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;    }</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;        </div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;        </div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;}</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00433"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a817f8d8127c60c21481e42531389376c">  433</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a817f8d8127c60c21481e42531389376c">DtuArray2D&lt;T&gt;::getSVD</a>(<a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a> &amp;out)</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;{</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    out = <a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a>(this-&gt;toTntArray2D());</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;}</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00439"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#ac84d734c8563a5abd76a043fc3c3a0e6">  439</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#ac84d734c8563a5abd76a043fc3c3a0e6">DtuArray2D&lt;T&gt;::pinv</a>(<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>* out)</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;{       </div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    <span class="keywordtype">int</span> min_dim = min(dim1(), dim2());</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    <span class="keywordtype">int</span> max_dim = max(dim1(), dim2());</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="namespace_t_n_t.html#ab22c518de961e96e4a654ce4b4c6b948">transpose</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;    <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a> S = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>(max_dim, min_dim) = 0.0;</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a> U;</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;    <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a> V;</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;    <span class="comment">// the JAMA::SVD works ok only for matrices in which</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    <span class="comment">// there number of columns is greater or equal to the number of rows</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;    <span class="comment">// Therefore, if the current matrix has more rows, it needs to be transposed</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;    <span class="comment">// and its pseudo inverse is transposed before returning</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    <span class="keywordflow">if</span> (this-&gt;m_ &lt; this-&gt;n_)</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;    {</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;        <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D</a> temp = <a class="code" href="class_t_n_t_1_1_array2_d.html">Array2D&lt;T&gt;</a>(this-&gt;n_, this-&gt;m_);</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        this-&gt;transpose(temp);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;        <a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a>svd = <a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a>(temp);</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;        transpose = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;        svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#ae7f5faa245069309abd8b1b630f71ca0">getU</a>(U);</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;        svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#a16c66d5d97354f8b2ec87a4c603a02d6">getV</a>(V);</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;        <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;double&gt;</a> Sp = <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;double&gt;</a>();</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;        svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#ad25ba091d8385d45bb38e24962cad60a">getS</a>(Sp);</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;        <span class="comment">// JAMA::SVD returns S as a square matrix while for the pseudo inverse</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;        <span class="comment">// we need a matrix of the same size as the input matrix. Therefore, the</span></div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;        <span class="comment">// S we get from JAMA is copied to a matrix of correct size.</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;min_dim; i++)</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;        {</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;            S[i][i] = Sp[i][i];</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;        }</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    }</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;    {</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;        <a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a>svd = <a class="code" href="class_j_a_m_a_1_1_s_v_d.html">JAMA::SVD&lt;T&gt;</a>(*(<span class="keyword">this</span>));</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;        svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#ae7f5faa245069309abd8b1b630f71ca0">getU</a>(U);</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;        svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#a16c66d5d97354f8b2ec87a4c603a02d6">getV</a>(V);</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;        <span class="keywordflow">if</span> (max_dim == min_dim)</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;            svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#ad25ba091d8385d45bb38e24962cad60a">getS</a>(S);</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;        {</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;            <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;double&gt;</a> Sp = <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;double&gt;</a>();</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;            svd.<a class="code" href="class_j_a_m_a_1_1_s_v_d.html#ad25ba091d8385d45bb38e24962cad60a">getS</a>(Sp);</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;min_dim; i++)</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;            {</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;                S[i][i] = Sp[i][i];</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;            }</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;        }</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;    }</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;    <span class="comment">// invert the sigma matrix,</span></div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;    <span class="comment">// see http://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_pseudoinverse#Singular_value_decomposition_.28SVD.29</span></div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;    <span class="comment">// values below epsilon will be treated as zero.</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;    <span class="comment">// if you want to tune the results to be closer to what MATLAB returns, play with this parameter</span></div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;    <span class="keywordtype">double</span> epsilon = pow(2.0, -24.0);</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;    <span class="comment">//double epsilon = 0.2;</span></div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;    T sigma_max = S[0][0];</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; min_dim; i++)</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;    {</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;        <span class="keywordflow">if</span> (S[i][i] &gt; sigma_max)</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;        sigma_max = S[i][i];</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;    }</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;    <span class="comment">//T tolerance = epsilon * max_dim * sigma_max;</span></div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;    T tolerance = epsilon * sigma_max;</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; min_dim; i++)</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;    {</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;        <span class="keywordflow">if</span> (S[i][i] &gt; tolerance)</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;        {</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;            S[i][i] = 1/S[i][i];</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;        }</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;            S[i][i] = 0;</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;    }</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;    <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D</a> V_times_S_transposed = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>();</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;    <span class="comment">// if sigma matrix is square, transpose it in place</span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;    <span class="keywordflow">if</span> (S.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>() == S.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>())</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;    {</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;        S.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a95044424cf0a7805be6bcddb6b2683f2">transpose_insitu</a>();</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;        V.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#abfd1831b2f3ff56bb30ebae5a5b59b63">multiplyR</a>(S,V_times_S_transposed);</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;    }</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;    <span class="keywordflow">else</span> <span class="comment">// if sigma matrix is not square, it must be transposed into a separate variable</span></div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;    {</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;        <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>S_transposed = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>();</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;        S.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">transpose</a>(S_transposed);</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;        V.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#abfd1831b2f3ff56bb30ebae5a5b59b63">multiplyR</a>(S_transposed,V_times_S_transposed);</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;    }</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;    U.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a95044424cf0a7805be6bcddb6b2683f2">transpose_insitu</a>(); <span class="comment">// U matrix is always square</span></div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a> pre_out = <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a>();</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;    V_times_S_transposed.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#abfd1831b2f3ff56bb30ebae5a5b59b63">multiplyR</a>(U,pre_out);</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;    <span class="keywordflow">if</span> (transpose)</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;        pre_out.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#af581f022e7453af3da50685391f71f35">transpose</a>(out);</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;    {</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row=0; row&lt;pre_out.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a68ddbc5c53f0e19a2fc2bae855e36077">dim1</a>(); ++row)</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;        {</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> column = 0; column&lt;pre_out.<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#aefec13b0e62c9b7f56b6109f47ea757e">dim2</a>(); ++column)</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;            {</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;                (*out)[row][column] = pre_out[row][column];</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;            }</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;        }</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;    }</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;}</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;<span class="comment">// this transforms the given DtuArray into a TntArray with the same content.</span></div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;<span class="comment">// this should not be used usually, as the DtuArray2D IS a TntArray2D is thus</span></div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;<span class="comment">// accepted as input argument by functions using the TntArrays.</span></div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00565"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a906c78d88bdb45a4f9d8805d3a0c6262">  565</a></span>&#160;<a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;T&gt;</a> <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a906c78d88bdb45a4f9d8805d3a0c6262">DtuArray2D&lt;T&gt;::toTntArray2D</a>()</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;{</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;        <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;T&gt;</a> out = <a class="code" href="class_t_n_t_1_1_array2_d.html">TNT::Array2D&lt;T&gt;</a>(this-&gt;m_, this-&gt;n_);</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; this-&gt;m_; i ++)</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; this-&gt;n_; j++)</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;                out[i][j] = this-&gt;v_[i][j];</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;        <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;}</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;<span class="comment">// assigning a constant value to all fields in the table</span></div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a name="l00576"></a><span class="lineno"><a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a3ce392195f883257dc8133f7fab9564d">  576</a></span>&#160;<a class="code" href="class_d_t_u_1_1_dtu_array2_d.html">DtuArray2D&lt;T&gt;</a> &amp; <a class="code" href="class_d_t_u_1_1_dtu_array2_d.html#a3ce392195f883257dc8133f7fab9564d">DtuArray2D&lt;T&gt;::operator=</a>(<span class="keyword">const</span> T &amp;a)</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;{</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;        <span class="comment">/* non-optimzied, but will work with subarrays in future verions */</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;this-&gt;m_; i++)</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j&lt;this-&gt;n_; j++)</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;                        this-&gt;v_[i][j] = a;</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;}</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;} <span class="comment">// DTU</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;<span class="preprocessor">#endif // DTU_ARRAY_2D_H</span></div>
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